Dear David,
I sympathize with your attempt to try to make sense out of the speed of light (something that my essay attempts as well). I would like to make some suggestions, in the spirit of constructive criticism, to help you present your ideas in a manner so that others can better understand your approach:
1. The biggest thing I missed in your essay was a dissection of an experiment that measures the speed of light, so that we can see in a concrete and detailed example how the fact that electrodynamics underlies all our measurements of light undermines our ability to measure its speed. Showing something by means of a concrete example almost always conveys your idea more effectively than talking about it in generalities. And this is especially important for ideas as unorthodox as yours.
2. You used the the terms "metaphysically infinite" and "epistemologically infinite" when you really meant "metaphysically indefinite" and "epistemologically indefinite". Why not use the latter two terms? The first two are bound to get you dismissed immediately by some physicists who might (mistakenly) get the impression that you claim that the speed of light is an infinite quantity. Also, you never really explained the distinction. I have a background in philosophy, so I think I have a rough idea of what you meant, but somebody without it might write it off as useless philosophical jargon.
3. There are some fine points you could have discussed in your essay to alleviate concerns that you did not miss something obvious. For instance,
a.the distinction between a purely theoretical term and an empirical one, and their places in a theory;
b. the usefulness of invalid concepts in science (recall, science is inductive, not deductive, so in a strict logical sense, inferences we draw are almost always logically invalid);
c. the appearance and apparent coincidence of the value speed of light in terms of many other distinct quantities (e.g. in terms of permittivity and permeability of space, the ratio of electric to magnetic fields, as a limit for time dilation phenomena, its theoretically predicted and empirically confirmed slowdown in media, its relation to the Cerenkov effect, its appearance in the Scwarzschild radius etc.)
I hope you found my criticism useful.
Armin